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535494240 = 253654591
BaseRepresentation
bin11111111010101…
…111111001100000
31101022121221000000
4133322233321200
52044041303430
6125045300000
716161424461
oct3772577140
91338557000
10535494240
112552aa826
1212b404600
1386c31ac8
1451194d68
1532029e60
hex1feafe60

535494240 has 168 divisors, whose sum is σ = 1897203168. Its totient is φ = 142767360.

The previous prime is 535494227. The next prime is 535494241. The reversal of 535494240 is 42494535.

It is a happy number.

535494240 is a `hidden beast` number, since 535 + 49 + 42 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 535494195 and 535494204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535494241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 114345 + ... + 118935.

It is an arithmetic number, because the mean of its divisors is an integer number (11292876).

Almost surely, 2535494240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948601584).

535494240 is an abundant number, since it is smaller than the sum of its proper divisors (1361708928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

535494240 is an equidigital number, since it uses as much as digits as its factorization.

535494240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 535494240 is about 23140.7484753627. The cubic root of 535494240 is about 812.0540460844.

The spelling of 535494240 in words is "five hundred thirty-five million, four hundred ninety-four thousand, two hundred forty".